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151934765528 = 237131109188189
BaseRepresentation
bin1000110110000000000…
…1001000100111011000
3112112011121001210020002
42031200001020213120
54442130244444103
6153444201152132
713656041125040
oct2154001104730
9475147053202
10151934765528
115948723a127
122554278b648
1311434366130
1474d4708720
153e438a8488
hex23600489d8

151934765528 has 64 divisors (see below), whose sum is σ = 350936712000. Its totient is φ = 60051543552.

The previous prime is 151934765527. The next prime is 151934765561. The reversal of 151934765528 is 825567439151.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151934765527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713258 + ... + 901446.

It is an arithmetic number, because the mean of its divisors is an integer number (5483386125).

Almost surely, 2151934765528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151934765528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175468356000).

151934765528 is an abundant number, since it is smaller than the sum of its proper divisors (199001946472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151934765528 is a wasteful number, since it uses less digits than its factorization.

151934765528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189324 (or 189320 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 56.

The spelling of 151934765528 in words is "one hundred fifty-one billion, nine hundred thirty-four million, seven hundred sixty-five thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1109 2218 4436 7763 8872 14417 15526 28834 31052 57668 62104 100919 115336 188189 201838 376378 403676 752756 807352 1317323 1505512 2446457 2634646 4892914 5269292 9785828 10538584 17125199 19571656 34250398 68500796 137001592 208701601 417403202 834806404 1460911207 1669612808 2713120813 2921822414 5426241626 5843644828 10852483252 11687289656 18991845691 21704966504 37983691382 75967382764 151934765528